Help, show work aswell please​

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

[tex]\mathbf{n = 5}[/tex] --- the number of digits

[tex]\mathbf{r = 3}[/tex] ---- the number of actions

Each of the three actions can either be:

The number of ways of pressing a button is:

[tex]\mathbf{n_1 = ^5C_1}[/tex]

Apply combination formula

[tex]\mathbf{n_1 = \frac{5!}{(5-1)!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5!}{4!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}[/tex]

[tex]\mathbf{n_1 = 5}[/tex]

The number of ways of pressing a pair is:

[tex]\mathbf{n_2 = ^5C_2}[/tex]

Apply combination formula

[tex]\mathbf{n_2 = \frac{5!}{(5-2)!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5!}{3!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}[/tex]

[tex]\mathbf{n_2 = 10}[/tex]

So, the number of ways of performing one action is:

[tex]\mathbf{n =n_1 + n_2}[/tex]

[tex]\mathbf{n =5 + 10}[/tex]

[tex]\mathbf{n =15}[/tex]

For the three actions, the number of ways is:

[tex]\mathbf{Action = n^3}[/tex]

[tex]\mathbf{Action = 15^3}[/tex]

[tex]\mathbf{Action = 3375}[/tex]

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

https://brainly.com/question/4546043

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

-x^2 -6y+13x+7

The constant is the term with no variable attached to it

7 is the constant

Step-by-step explanation:

2+2 = 4 - 6= -2+8=6+2=8

Answer: 8

Answer:

48

Step-by-step explanation:

First add 2 + 2 = 4

Next subtract 4 - negative 6 = -2

Then add -2 + 8 = 6

Last multiply 6 * 8 = 48

Answer:

450 words at a rate of 45 word per minute

Step-by-step explanation:

180 divided by 4 equals 45

times 10 equals 450

Answer:

450 words in 10 minutes

Step-by-step explanation:

To set this up you need to put it like this:

[tex]\frac{180}{4} =\frac{x}{10}[/tex]

From here, you need to cross multiply, which will get you to: 180(10) = 4x

Multiply 180 and 10: 1,800

The equation will now be: 1,800 = 4x

Now, divide both sides by 4:   450 = x

Answer:

Width = 125 m

Length = 375 m.

Step-by-step explanation:

If the width = w then length l = 3w.

Perimeter = 2(w + l)

= 2(w + 3w)

2(w + 3w) = 1000

2 * 4w = 1000

w = 1000/8 = 125m

l = 3*125 = 375.

Step-by-step explanation:

width = x

length= 3x

perimeter of triangle =2( l + b)

1000 = 2( 3x + x )

1000÷ 2 = 4x

500=4x

x= 500÷ 4 = 125

width = 125

length = 125×3= 375

recheck by filling value

width= x = 125

length = 3x =375

perimeter = 2( l+ b)

= 2(375 + 125)

= 2× 500 = 1000

hence proved

hope it helps : )

Answer:

y = x - 11

Step-by-step explanation:

f (x) = x + 11

y = x + 11

x = y + 11

x - 11 = y

Answer:

so they have 6.6 Gallons?

Step-by-step explanation:

[tex]\\ \sf\longmapsto 1\dfrac{5}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7(1)+5}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7+5}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{12}{7}[/tex]

Answer:

38° po siya

HOPE IT HELPS

Answer:

you got the answer right there

Step-by-step explanation:

Answer:

-14/25

Step-by-step explanation:

7x +2 / 2 - 5x = -2 / 5

First you can cross multiply (shown in the picture):

Next, expand the brackets:

5(7x + 2) = -2(2 - 5x) → 35x + 10 = -4 + 10x

Now, simplify:

35x + 10 = -4 + 10x → 35x - 10x = -4 - 10 → 25x = -14 → x = -14/25

Hope this helps!

Answer:

7/10

Step-by-step explanation:

Answer:

adjacent angle

Step-by-step explanation:

a linear pair =180 so not it

supplementary and complementary can't be it either due to neither being right angles

not a vertical angle

right next to each other with a common line to connect them so adjacent angle

Answer:

The measure of angle S is 60°

Step-by-step explanation:

This is an equilateral triangle, which means that all sides and all angles are equal. Hence, in order for all the angles to equal 180°, they each have to equal 60°

Answer:

Your answer is :

There are three basic Transformations ( changes ) that can be done to a shape. They are Reflection, Rotation, and Translation. These transformations move the shape without making any Changes to its shape or size. A Reflection flips a shape over to create a mirror image. The dotted line in the video is like a Mirror. The copied second shape we see across the line is called an Image. It is exactly Opposite the first shape.

Step-by-step explanation:

Hope this helps!

There are three basic transformations that can be done to a shape. They are reflection, rotation, and translation.

These transformations move the shape without making any changes to its shape or size. A reflection flips a shape over to create a mirror image. The dotted line in the video is like a reflection. (The triangle below on the right side has been reflected (flipped) over the dotted line to create a mirror image. The second shape we see across the line is called an image. It is exactly opposite of the first shape.

Answer:

Here are your answers!

302×10^-8 = 0.00000302

6.8×10^3 = 6800

9.1×10^-7 = 9.1e-7 OR 0.00000091

2.3 ×10^4 = 23000

Step-by-step explanation:

It looks like these are all questions that require you to move the decimal point. I suggest Following PEMDAS and doing the exponents first. Then counting the number of 0's in the simplified number and moving the decimal that many places. If the answer after solving the exponent is negative move to the left, if it is positive move to the right.

Answer:

The answer in short is A,B and E

Step-by-step explanation:

Answer:

3 acute angles

2 acute angles, 1 right angle

2 acute angles, 1 obtuse angle

Step-by-step explanation:

Answer:

the ans is..... 10.75 km......

Answer:

y = 6x - 42

Step-by-step explanation:

Point (7,0)

y-intercept = 0 - (6)(7) = -42

Answer:

ikaw mag sagut nyan tiba may utak ka? Tanga kaya mo na yan

Step-by-step explanation:

She's imperfect but she tries

She is good but she lies

She is hard on herself

She is broken and won't ask for help

She is messy but she's kind

She is lonely most of the time

She is all of this mixed up

And baked in a beautiful pie

She is gone but she used to be mine

Answer:

59

Step-by-step explanation:

Given: a = 13, b = 6, and c = 5

(13-6)^2+2 x 5 (=10)

(13-6)^2+10

=59

Answer:

59

Step-by-step explanation:

Given,

a = 13

b = 6

c = 5

To find : ( a - b )^2 + 2c

Answer : -

( a - b )^2 + 2c

= ( 13 - 6 )^2 + 2 ( 5 )

= ( 7 )^2 + 10

= 49 + 10

= 59

Therefore,

the value of ( a - b )^2 + 2c is 59.

Answer:

To find the Slope: Slope Formula: m = y2 −y1 x2 −x1. Given points: P (6,2) and S(3,1) will be our (x1,y1) and (x2,y2) respectively. Hence x1 = 6,y1 = 2,x2 = 3,y2 = 1. Slope(m) = 1 −2 3 −6. ⇒ −1 −3 = 1 3.

Step-by-step explanation:

Answer:

p = -15

Step-by-step explanation:

[tex]-3=\frac{3p-p}{2-(-8)} =\frac{2p}{10}[/tex]

[tex]\frac{2p}{10} =-3[/tex]

[tex]2p=-3(10)[/tex]

[tex]p=\frac{-30}{2}[/tex]

[tex]p=-15[/tex]

[tex]m=\frac{-45-(-15)}{2-(-8)} =\frac{-45+15}{2+8} =\frac{-30}{10} =-3[/tex]

I hope this help you

Answer:

point = (-3, 5)

slope = 3/4

Step-by-step explanation:

The formula for point slope is:

y - y1 = m (x - x1)

point (x1, y1)

slope m

So with your equation:

y - 5 = 3/4 (x+ 3)

point = (-3, 5)

slope = 3/4

Answer: M=0,75

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Because it takes 5730 years for half of a sample of carbon-14 atoms to decay. It says that 50% of the carbon atoms have decayed so that means that 5730 years have elapsed for that fossil.

Hope this helps!

Answer:

D(t) = 2,280 - 60t

for D(15) compare the eqns and substitute the value of t.

D(15) = 2,280 - 60(15)

D(15) = 1,380 miles.

In the context of the qn, the Chang family travels 1,380 miles in 15 hours.

Answer:

y = -3x - 6

Step-by-step explanation:

Answer:

it would be roughly 24 hours

Step-by-step explanation:

180÷14

12.8571428571

simplify to 12.85

12.85× X = 300

X=24

Step-by-step explanation:

Area of a trapezium  = ¹/₂ (a + b) h

But the height isn't given. So we have to solve for it.

h = √(10² - 6²)         [using the Pythagorean theorem]

  =  8

∴ Area of the shape =   ¹/₂  (13 + 28) 8

                                 =  164 u²

Answer:

0.125

Step-by-step explanation:

Hope it helps

Answer:

(5/4) / 10

= (5×10)/4

= 50 / 4

= 25/ 2

= 12.5

Step-by-step explanation:

brainliest plz